QUESTION 2 Use braces to write the members of the set, or state that the set has no members. The whole numbers greater than 3 and less than 7 O (4, 5, 6} {3, 4, 5, 6, 7} O (3, 4, 5, 6} O {4, 5, 6, 7}

Q: List the elements of the set of all letters in the word ​'four'. The set of all letters in the word…

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Q: Let U = {3, 4, 5, 6, 7, 8, 9, 10},  A = {4, 6, 8},  B = {3, 4, 7, 10}, and C = {3, 5, 7} . Find the…

A: It is given, U= {3,4,5,6,7,8,9,10}.

Q: Let A = {1, 3, 5, 7, 9), B = {3, 6, 9), and C = (2, 4, 6, 8). Find each of the following. (Express…

A: Given sets: A=1,3,5,7,9 B=3,6,9 C=2,4,6,8 Find: a) A∪B b) A∩B c) A∪C d) A∩C e) A-B f) B-A g) B∪C h)…

Q: Use A= {5, 6, 7, 8, 9} and B= {1, 7, 8, 9} to find the set AN B. ANB= (Use a comma to separate…

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Q: A set contains eighteen elements. How many subsets containing six elements each can be formed from…

A: Since the order in which elements are arranged doesn't matter so use the combination rule to…

Q: QUESTION 6 Use braces to write the members of the set, or state that the set has no members. The…

A: We use the Roster form representation of a set to answer the given question.

Q: Let A be the set of letters in the word "information" and B be the set of letters in the word…

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Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: Let  U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},   A = {7, 9, 11, 13, 15},   B = {8, 10, 12, 14,…

A: Given the universal set is U=7, 8, 9, 10, 11, 12, 13, 14, 15, 16. The sets A, B and C are as…

Q: List all the subsets of the set A = {a, b, c, d}

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Q: Let A, B and C be sets such that Al = 17 |B= 10 C= 11 and the intersection of any two of these sets…

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Q: Select all of the following sets that could be the set A if AC {5, 7, 11, 13, 17, 19}. O{5, 7, 11,…

A:

Q: Suppose we have a set A={1, 2, 3, 4, 5, 6}. What is the partition of A into three parts? Make sure…

A: We can partition of set A as below

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

Q: Let U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, A = {5, 7, 9, 11, 13}, B = {6, 8, 10, 12, 14}, and C…

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Q: Let  U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},   A = {1, 3, 5, 7, 9},   B = {2, 4, 6, 8, 10},  and  C =…

A: We are given: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1,…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2,…

A: Given, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1,…

Q: A set contains 7 distinct elements. How many subsets can be formed from the elements of S that…

A: Use combination formula

Q: Use the Venn diagram to list the elements of the set in roster form. AUB AUB= OA. (3, 6, 9, 11, 13,…

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Q: How many elements does the successor of a set with n elements have?

A: Successor of the set, A is formed by adding an element {A} to the set. So, successor of A will be A…

Q: A multiset is a collection of objects, just like a set, but can contain an object more than once…

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Q: A product code consists of a string of 4 different letters selected from the set {S,T,U,V,W,X}. How…

A: The number of ways to arrange r objects selected from n distinct objects is given by the permutation…

Q: Let D (2,5,7}, E= (2,4,5,6) andF=(1,3,4,5,7). List the elements in the set (D UE)N F. (DUE)NF = }…

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Q: Use the Euler, improved Euler and Runge-kutta methods to solve the following ODES: y co) = し h=o.2…

A: Given the ODE y'+5x4y2=0 and  y0=1⇒x0=0, y0=1   Step size h=0.2 Solve using Euler's Method at a…

Q: Suppose you have a set S= {1, 2, 3, 4}. How many ways can you arrange 2 elements of the set without…

A: Given   A problem on permutations. Please find the below attachment for clear explanation.

Q: How many unordered sets are there of two items chosen from four? ?sets

A: We have to find number of unordered sets of two items chosen from four items.

Q: A basket holds a set of balls. Each ball is red, green, or blue. How many balls must there be in the…

A: We have given that A basket holds a set of balls. Each ball is red, green, or blue. How many balls…

Q: Use sets U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 3, 7, 8), and B = {3, 4, 5, 6, 7, 9, 10) to…

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Q: Consider numbers of the form a = a₁a2a3 . . . an, with n digits, each digit from the set {1, 2, 3,…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.